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Finding the Fourth Proportional to 14,886.25, 22,329.84 and 7,486.66

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Solution

The fourth proportional to 14,886.25, 22,329.84 and 7,486.66 is: 11,230.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,886.25 : 22,329.84 = 7,486.66 : x
  2. Step 2: Convert to fraction form
    14,886.25/22,329.84 = 7,486.66/x
  3. Step 3: Cross multiply
    14,886.25x = 22,329.84 × 7,486.66
  4. Step 4: Simplify right side
    14,886.25x = 167,175,975.92
  5. Step 5: Solve for x
    x = 167,175,975.92/14,886.25
  6. Step 6: Final answer
    x = 11,230.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.